314463000 has 128 divisors (see below), whose sum is σ = 1007997120. Its totient is φ = 81561600.

The previous prime is 314462933. The next prime is 314463043. The reversal of 314463000 is 364413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109584 + ... + 112416.

Almost surely, 2^314463000 is an apocalyptic number.

314463000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314463000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503998560).

314463000 is an abundant number, since it is smaller than the sum of its proper divisors (693534120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314463000 is a wasteful number, since it uses less digits than its factorization.

314463000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 314463000 is about 17733.1046351168. The cubic root of 314463000 is about 680.0223464398.

The spelling of 314463000 in words is "three hundred fourteen million, four hundred sixty-three thousand".